Using the following data: Symbol Frequency A 0.15 B 0.15 C 0.2 D 0.1 - 0.4 a. Construct a Huffman code b. Encode 'ABA-C-BAD' using this code. c. In general, for a Huffman coding of m symbols, what is the longest possible codeword?

Huffiman codes (a) Construct a binary Huffman code for the following distribution on five symbols: 𝐩=(0.3,0.3,0.2,0.1,0.1). What is the average length of this code? (b) Construct a probability distribution 𝐩^' on five symbols for which the code that you constructed in part (a) has an average length (under 𝐩^' ) equal to its entropy H(𝐩^'). | Numerade